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Finding the Fourth Proportional to 446.96, 670.44 and 212.72

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Solution

The fourth proportional to 446.96, 670.44 and 212.72 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.96 : 670.44 = 212.72 : x
  2. Step 2: Convert to fraction form
    446.96/670.44 = 212.72/x
  3. Step 3: Cross multiply
    446.96x = 670.44 × 212.72
  4. Step 4: Simplify right side
    446.96x = 142,616.00
  5. Step 5: Solve for x
    x = 142,616.00/446.96
  6. Step 6: Final answer
    x = 319.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.